Statement I: | Biot-Savart's law gives us the expression for the magnetic field strength of an infinitesimal current element \(I(dl)\) of a current-carrying conductor only. |
Statement II: | Biot-Savart's law is analogous to Coulomb's inverse square law of charge \(q,\) with the former being related to the field produced by a scalar source, \(Idl\) while the latter being produced by a vector source, \(q.\) |
1. | Statement I is incorrect but Statement II is correct. |
2. | Both Statement I and Statement II are correct. |
3. | Both Statement I and Statement II are incorrect. |
4. | Statement I is correct but Statement II is incorrect. |
The magnetic field due to a straight conductor of a uniform cross-section of radius \(a\) and carrying a steady current is represented by:
1. | 2. | ||
3. | 4. |
Given below are two statements:
Statement I: | \(\overrightarrow{dl}\) of a current-carrying wire carrying a current, \(I\) is given by: \(\overrightarrow{dB}=\dfrac{\mu_0}{4\pi}~I\left(\overrightarrow{dl}\times\dfrac{\overrightarrow r}{r^3}\right )\), where \(\vec{r}\) is the position vector of the field point with respect to the wire segment. |
The magnetic field due to a segment
Statement II: | The magnetic field of a current-carrying wire is never parallel to the wire. |
1. | Statement I and Statement II are True and Statement I is the correct explanation of Statement II. |
2. | Statement I and Statement II are True and Statement I is not the correct explanation of Statement II. |
3. | Statement I is True, Statement II is False. |
4. | Statement I is False, Statement II is True. |